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2 years ago

If the slope of line l is x, and the slope of line m is x+2, and l⊥ m, what is x?

Mathematics

1 answer:

salantis [7]2 years ago

6 0

Answer:

The answer to your question is: x = -1

Step-by-step explanation:

Data

slope of l = x

slope of m = x +2

they are ⊥

Process

If they are ⊥, then, x + 2 = - 1/x

x(x + 2) = -1

x² + 2x = -1

x² + 2x + 1 = 0

(x + 1)² = 0

x + 1 = 0

x = -1

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When will the equation p(b)=520(0.88)^b have a value less than 100?

yulyashka [42]

Answer:

The given equation will have value less than 100 whenever the value of b is greater than 12.89

Step-by-step explanation:

For the given equation, p(b) = 520 × $0.88^{b}$ to have a value less than 100 we can establish inequality as:

p(b) < 100

or, 520 × $0.88^{b}$ < 100

or, $\frac{520}{520}$ × $0.88^{b}$ < $\frac{100}{520}$

or, $0.88^{b}$ < $\frac{1}{5.2}$

or, ㏒ ( $0.88^{b}$ ) < ㏒ ( $\frac{1}{5.2}$ )

or, b× ㏒ 0.88 < ㏒ ( $\frac{1}{5.2}$ )

or, $\frac{log (\frac{1}{5.2}) }{log (0.88)}$ < b

or, 12.89 < b

Hence for the equation to have value less than 100, b must be greater than 12.89.

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3 years ago

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vodomira [7]

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Check: What is the first term? We expect it is 2. 2(7)^(1-1) = 2(1) = 2. Correct.

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